Let's examine the table data step by step to determine which lake is not sustainable.
First, we will compute the total inflows and outflows for each lake.
### Lake A:
Inflows:
- River 1: 6.0 m/minute
- Precipitation: 2.4 m/minute
- River 2: 2.1 m/minute
Total Inflows: [tex]\( 6.0 + 2.4 + 2.1 = 10.5 \)[/tex] m/minute
Outflows:
- Irrigation Canals: 5.1 m/minute
- Evaporation: 4.0 m/minute
Total Outflows: [tex]\( 5.1 + 4.0 = 9.1 \)[/tex] m/minute
Net Inflow: [tex]\( 10.5 - 9.1 = 1.4 \)[/tex] m/minute
### Lake B:
Inflows:
- River 1: 5.6 m/minute
- Precipitation: 0.4 m/minute
- River 2: 3.1 m/minute
Total Inflows: [tex]\( 5.6 + 0.4 + 3.1 = 9.1 \)[/tex] m/minute
Outflows:
- River 3: 4.3 m/minute
- Irrigation Canals: 3.1 m/minute
- Evaporation: 3.5 m/minute
Total Outflows: [tex]\( 4.3 + 3.1 + 3.5 = 10.9 \)[/tex] m/minute
Net Inflow: [tex]\( 9.1 - 10.9 = -1.8 \)[/tex] m/minute
### Lake C:
Inflows:
- River 1: 2.6 m/minute
- Precipitation: 3.0 m/minute
- River 2: 1.2 m/minute
Total Inflows: [tex]\( 2.6 + 3.0 + 1.2 = 6.8 \)[/tex] m/minute
Outflows:
- River 3: 2.3 m/minute
- Evaporation: 3.5 m/minute
Total Outflows: [tex]\( 2.3 + 3.5 = 5.8 \)[/tex] m/minute
Net Inflow: [tex]\( 6.8 - 5.8 = 1.0 \)[/tex] m/minute
### Determining Sustainability:
For a lake to be sustainable, the net inflow should be positive or zero. In this case, Lake B has a negative net inflow of [tex]\(-1.8 \)[/tex] m/minute, indicating it loses more water than it gains.
### Conclusion:
Lake B is not sustainable.
